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Results (37 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
1560.a1 1560.a \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $2.252740404$ $[0, -1, 0, -7696, 261820]$ \(y^2=x^3-x^2-7696x+261820\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.z.1.12, $\ldots$
1560.a2 1560.a \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $2.252740404$ $[0, -1, 0, -7176, -230724]$ \(y^2=x^3-x^2-7176x-230724\) 2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.16, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$
1560.a3 1560.a \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.126370202$ $[0, -1, 0, -676, 676]$ \(y^2=x^3-x^2-676x+676\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 52.24.0-52.b.1.2, 156.48.0.?
1560.a4 1560.a \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $1$ $\Z/4\Z$ $2.252740404$ $[0, -1, 0, 169, 0]$ \(y^2=x^3-x^2+169x\) 2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 12.24.0-12.g.1.2, 104.24.0.?, $\ldots$
1560.b1 1560.b \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -5816, 172620]$ \(y^2=x^3-x^2-5816x+172620\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 104.12.0.?, $\ldots$
1560.b2 1560.b \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -3016, -61460]$ \(y^2=x^3-x^2-3016x-61460\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 52.12.0-4.c.1.1, $\ldots$
1560.b3 1560.b \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -416, 1980]$ \(y^2=x^3-x^2-416x+1980\) 2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$
1560.b4 1560.b \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 84, 180]$ \(y^2=x^3-x^2+84x+180\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 52.12.0-4.c.1.2, $\ldots$
1560.c1 1560.c \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -345, -2355]$ \(y^2=x^3-x^2-345x-2355\) 390.2.0.?
1560.d1 1560.d \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -2433600, 1462052700]$ \(y^2=x^3-x^2-2433600x+1462052700\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 12.24.0-12.h.1.2, 16.48.0-16.f.1.4, $\ldots$
1560.d2 1560.d \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -534560, -125418900]$ \(y^2=x^3-x^2-534560x-125418900\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.f.2.11, 24.48.0-24.by.1.11, $\ldots$
1560.d3 1560.d \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -155480, 21815772]$ \(y^2=x^3-x^2-155480x+21815772\) 2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.d.2.2, 24.96.0-24.t.1.2, 104.96.0.?, $\ldots$
1560.d4 1560.d \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/4\Z$ $1$ $[0, -1, 0, -152100, 22882500]$ \(y^2=x^3-x^2-152100x+22882500\) 2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.1.10, 12.48.0-12.c.1.1, 24.96.0-24.g.2.1, $\ldots$
1560.d5 1560.d \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -9295, 376432]$ \(y^2=x^3-x^2-9295x+376432\) 2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 8.48.0-8.ba.1.2, 12.24.0-12.g.1.2, $\ldots$
1560.d6 1560.d \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 169520, 100725772]$ \(y^2=x^3-x^2+169520x+100725772\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.ba.2.6, 48.96.0-48.bg.2.11, 104.96.0.?, $\ldots$
1560.e1 1560.e \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -4280, -74100]$ \(y^2=x^3-x^2-4280x-74100\) 2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?
1560.e2 1560.e \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 720, -8100]$ \(y^2=x^3-x^2+720x-8100\) 2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?
1560.f1 1560.f \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -8320, 294892]$ \(y^2=x^3-x^2-8320x+294892\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.5, 156.12.0.?, $\ldots$
1560.f2 1560.f \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -720, 972]$ \(y^2=x^3-x^2-720x+972\) 2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.v.1.1, 312.24.0.?, 1560.48.0.?
1560.f3 1560.f \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -520, 4732]$ \(y^2=x^3-x^2-520x+4732\) 2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.4, 156.24.0.?, 1560.48.0.?
1560.f4 1560.f \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -20, 132]$ \(y^2=x^3-x^2-20x+132\) 2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.2, 78.6.0.?, 156.24.0.?, $\ldots$
1560.g1 1560.g \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.983821351$ $[0, 1, 0, -1656, -26400]$ \(y^2=x^3+x^2-1656x-26400\) 2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 104.24.0.?, 312.48.0.?
1560.g2 1560.g \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.967642703$ $[0, 1, 0, -156, 0]$ \(y^2=x^3+x^2-156x\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 52.24.0-52.b.1.1, 156.48.0.?
1560.g3 1560.g \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $1$ $\Z/4\Z$ $0.983821351$ $[0, 1, 0, -111, 414]$ \(y^2=x^3+x^2-111x+414\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 26.6.0.b.1, 52.24.0-52.g.1.2, $\ldots$
1560.g4 1560.g \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $3.935285407$ $[0, 1, 0, 624, 624]$ \(y^2=x^3+x^2+624x+624\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$
1560.h1 1560.h \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $1$ $\mathsf{trivial}$ $0.034820155$ $[0, 1, 0, 9719, 245915]$ \(y^2=x^3+x^2+9719x+245915\) 390.2.0.?
1560.i1 1560.i \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -9896, -183696]$ \(y^2=x^3+x^2-9896x-183696\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.1, 40.24.0-40.v.1.4, $\ldots$
1560.i2 1560.i \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -4896, 128304]$ \(y^2=x^3+x^2-4896x+128304\) 2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.3, 52.12.0-2.a.1.1, $\ldots$
1560.i3 1560.i \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -4876, 129440]$ \(y^2=x^3+x^2-4876x+129440\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.9, $\ldots$
1560.i4 1560.i \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -216, 367920]$ \(y^2=x^3+x^2-216x+367920\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 52.12.0-4.c.1.1, $\ldots$
1560.j1 1560.j \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $1$ $\mathsf{trivial}$ $0.030329550$ $[0, 1, 0, -105, 603]$ \(y^2=x^3+x^2-105x+603\) 390.2.0.?
1560.k1 1560.k \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -200, 1008]$ \(y^2=x^3+x^2-200x+1008\) 2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?
1560.k2 1560.k \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 0, 48]$ \(y^2=x^3+x^2+48\) 2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?
1560.l1 1560.l \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -561600, -162177552]$ \(y^2=x^3+x^2-561600x-162177552\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 16.48.0-16.i.1.3, 26.6.0.b.1, $\ldots$
1560.l2 1560.l \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -35100, -2542752]$ \(y^2=x^3+x^2-35100x-2542752\) 2.6.0.a.1, 4.24.0-4.a.1.1, 8.48.0-8.g.1.1, 52.48.0-52.b.1.1, 104.96.1.?, $\ldots$
1560.l3 1560.l \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, 1, 0, -33480, -2786400]$ \(y^2=x^3+x^2-33480x-2786400\) 2.3.0.a.1, 4.48.0-4.c.1.1, 104.96.1.?, 1040.192.3.?
1560.l4 1560.l \( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, 1, 0, -2295, -36450]$ \(y^2=x^3+x^2-2295x-36450\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 16.48.0-16.i.1.1, 26.6.0.b.1, $\ldots$
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